Determine the critical point of the function , and find whether it is a local maximum or a local minimum point.
From the definition of the absolute value of a function, we see that
This can be simplified to
The critical value of is . Now evaluate the function at this point.
Therefore, the critical point of the function is .
As the slope changes from negative on the left of the critical point to positive on the right of the critical point, it is a local minimum.